Bent Functions, Partial Difference Sets, and Quasi-FrobeniusLocal Rings

Authors:
Xiang-Dong Hou
Affiliations:
Department of Mathematics and Statistics, Wright State University, Dayton, Ohio 45435
Venue:
Designs, Codes and Cryptography
Year:
2000

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Abstract

Bent functions andpartial difference sets have been constructed from finite principalideal local rings. In this paper, the constructions are generalizedto finite quasi-Frobenius local rings. Let R bea finite quasi-Frobenius local ring with maximal ideal M.Bent functions and certain partial difference sets on M\timesM are extended to R\times R.